A Study On Coefficient Bounds for a Newly Defined Subfamily of Convex Functions

Authors

  • Kalsoom Bibi Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan. Email, kalsoomqayyum03@gmail.com
  • Minal Khan Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan. Email: minalkhanps@gmail.com.pk
  • Ali Jan Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan
  • Saba Gul Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan. Emai: sabagul5730@gmail.com
  • Khurshid Ahmad Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan Email: khurshidahmad410@gmail.com
  • Mirajul Haq Department of Mathematics, Abdul Wali khan University Mardan, Pakistan Email: merajkhan054@gmail.com

DOI:

https://doi.org/10.63163/jpehss.v3i3.608

Abstract

One of the most crucial problems in geometric function theory is the study of the Hankel determinant generated by the Maclaurin series of analytic functions that belong to particular classes of normalized univalent functions. Our goal in this study is first to define a family of convex functions associated with Zigzag coefficients and then to investigate bounds of initial coefficients, Fekete-Szegö inequality, second and third-order Hankel determinants. Further, we also examine the logarithmic coefficients of functions within a defined family regarding recent issues.
Mathematics Subject Classification.30C45, 30C50.

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Published

2025-08-17

How to Cite

Kalsoom Bibi, Minal Khan, Ali Jan, Saba Gul, Khurshid Ahmad, & Mirajul Haq. (2025). A Study On Coefficient Bounds for a Newly Defined Subfamily of Convex Functions. Physical Education, Health and Social Sciences, 3(3), 71–79. https://doi.org/10.63163/jpehss.v3i3.608

Issue

Vol. 3 No. 3 (2025): Physical Education, Health and Social Sciences (July-September 2025)

Section

Numerical Science and Engineering